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Phase equilibria and the scaling transformation

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  • D. W. Wood
  • A. H. Osbaldestin

It is argued that the scaling transformation which is currently being used to obtain numerical estimates of critical exponents cannot safely be employed without prior knowledge that the points in question are second-order transition points. The transformation when defined on finite or semi-infinite systems will not distinguish between order-disorder critical points and any other point on the coexistence surface. This in turn means that the full phase diagram of the equilibrium surface can be found using the scaling transformation. The three-state Potts model is used to illustrate this.

Original languageEnglish
Article number036
Pages (from-to)3579-3591
Number of pages13
JournalJournal of Physics A: General Physics
Issue number11
Publication statusPublished - 1 Dec 1982

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